Ratios, Rates and Proportional Reasoning Percent, Percent ...
ADV Unit 2
Ratios, Rates and Proportional Reasoning
Ratios Unit Rate Proportions Percents Measurement Conversion
Name: Math Teacher:
Pg.1a
Unit 2 Pacing
Week of 9/20:
Pre-Test, Ratios, Ratio Tables, Unit Rate, COMPUTER LAB DAY
Week of 9/27:
NO SCHOOL ? Fall Break
Week of 10/4:
Solving Proportions, Proportions and Problem Solving, QUIZ
Week of 10/11:
COMPUTER LAB DAY Percent of a Number, Whole if Given Percent, Percent Problem Solving, QUIZ,
Week 10/18:
Review, Post Test & TEST
IXL Login () USERNAME (student ID@ecms): PASSWORD (student ID): Other Login Information SITE: USERNAME: PASSWORD: SITE: USERNAME: PASSWORD:
pg. 1b
Unit 2: Rate, Ratio and Proportional Reasoning Standards, Checklist and Concept Map
Georgia Standards of Excellence (GSE):
MGSE6.RP.1: Understand the concept of a ratio and use ratio language to describe a ratio between two quantities. For example, "The ratio of wings to beaks in the bird house at the zoo was 2:1, because for every 2 wings there was 1 beak." "For every vote Candidate A received, Candidate C received nearly 3 votes."
MGSE6.RP.2: Understand the concept of a unit rate a/b associated with a ratio a:b with b 0, and use rate language in the context of a ratio relationship. For example, "This recipe has a ratio of 3 cups of flour to 4 cups of sugar, so there is ? cup of flour for each cup of sugar."
MGSE6.RP.3b: Solve unit rate problems including those involving unit pricing and constant speed. For example, if it took 7 hours to mow 4 lawns, at that rate, how many lawns could be mowed in 35 hours?
MGSE6.RP.3 : Use ratio and rate reasoning to solve real-world mathematical problems, e.g., by reasoning about tables of equivalent ratios, tape diagrams, double number line diagrams, or equations.
MGSE6.RP.3a : Make tables of equivalent ratios relating quantities with wholenumber measurements, find missing values in tables, and plot the pairs of values on the coordinate plane. Use tables to compare ratios.
MGSE6.RP.3c : Find a percent of a quantity as a rate per 100 (e.g., 30% of a quantity means 30/100 times the quantity); solve problems involving finding the whole, given a part and the percent.
MGSE6.RP.3d : Use ratio and rate reasoning to convert measurement units; manipulate and transform units appropriately when multiplying or dividing quantities.
What Will I Need to Learn??
________ I can understand ratios ________ I can understand unit rates ________ I can solve unit rate problems ________ I can make tables of equivalent ratios, find missing values, and plot points
in a coordinate plane; compare ratios in a table ________ I can solve problems with tables, tape or number line diagrams, or
equations ________ I can find percent of a number ________ I can find the whole when given part and % ________ I can convert Metric units ________ I can convert Customary units
Unit 2 Circle Map: On the left page, make a Circle Map of important vocab and topics
from the standards listed above.
Pg.2a
Unit 2 IXL Tracking Log
Skill R.1 (Write a Ratio) R.2 (Write a Ratio Using a Fraction) R.3 (Write a Ratio: Word Problems) R.4 (Which Model Represents the Ratio?) R.5 (Identify Equivalent Ratios) R.6 (Write an Equivalent Ratio) R.7 (Ratio Tables) R.9 (Unit Rates) R.10 (Equivalent Rates) R.15 (Ratios and Rates: Word Problems) R.16 (Do the ratios form a proportion?) R.17 (Solve the Proportion) R.22 (Scale Drawings: Word Problems) S.1 (What Percent is Illustrated?) S.4 (Convert Between Percents, Fractions and Decimals) S.6 (Compare Percents to Each Other and to Fractions) S.8 (Find what percent one number is of another) S.10 (Percents of Numbers and Money Amounts) S.13 (Find What Percent One Number is of Another ? Word Problems) S.15 (Find the Total Give a Part and a Percent) S.16 (Solve Percent Problems) S.17 (Solve Percent Word Problems) T.3 (Convert and Compare Customary Units) T.7 (Convert and Compare Metric Units) T.8 (Convert Customary and Metric Units Using Proportions)
Your Score
pg. 2b
Unit 2 - Vocabulary
Term
Definition
Customary System
The primary system of measurement used in the US, which uses a variety of conversions
Double Number Line Diagram
A visual model used to solve unit rate problems and proportions
Metric System
The system of measurement that uses a base10 model; used by most countries
Percent
Number out of 100
Proportion Rate Ratio Unit Rate Pg.3a
An equation of equivalent ratios
A ratio that compares quantities measured in different units
A comparison of two numbers
A comparison of two measurements in which one of the terms has a value of 1
Unit 2 ? Vocabulary ? You Try
Term
Definition
Illustration or Example
Customary System
Double Number Line Diagram
Metric System
Percent
Proportion
Rate
Ratio
Unit Rate
pg. 3b
Math 6 ? Unit 2: Rates, Ratios & Proportional Reasoning Review
Knowledge and Understanding
1. What is a ratio?
2. What is a rate?
3. What is a unit rate?
4. What is a percent?
Proficiency of Skills
5. Fill in the ratio table:
9
18
45
12
36
48
6. 80 is 25% of what number? __________
7. Find 30% of 70. __________
8.
Find the value of x.
15 =
25 30
__________
9. Write the ratio as a unit rate: $27 for 9 tickets. __________
Application
10. Jaden drove 260 miles in 4 hours. Jada drove 210 miles in 3 hours. Who drove at the fastest rate of speed? How do you know? a. Who drove the fastest? __________ b. How do you know?
11. A circus elephant is going to stand on a ball. Lulu the Elephant weighs 2 Tons. If the ball can hold up to 3,000 pounds, will Lulu make it? Explain your answer.
12. The table below shows the number of each item sold at the concession stand. What might the ratio 3:4 represent?
Item
Quantity Sold
Popcorn
20
Nachos
15
Hot Dog
25
Candy Bar
30
11. The ratio of boys to girls in a class is 4:8. If there are 24 students in the class, how many are boys?
12. In a class of 40 students, 30% DID return their permission slips for the school field trip. How many students did NOT return their permission slips?
13. The table below shows the cost for varying number of books. If the rate stays the same, determine the value of n.
Number of Books
Cost
6
$24
10
$40
12
$48
20
N
Pg.4a
pg. 4b
14. PBIS Middle School held a car wash as a fundraiser. Out of the 50 vehicles that were washed, 15 were trucks. What percent were trucks?
15. The graph below compares cups to pints. Which of the following ordered pairs would also satisfy this relationship?
A. (1, 2)
B. (2, 4)
C. (2, 0)
D. (4, 2)
16. Michael's paycheck last week was $146.50. He would like to
put 20% of his earnings in his savings account. How much
money should he put in his savings account?
a. $5.0 2
b. $15.2 2
c. $29.3 0
d. $88.2 7
17. The prices of 4 different bottles of lotion are given in the
table. Which size bottle is the BEST value?
Size
Price
25 ounces 15 ounces
$4.50 $1.80
A. The 25-oz bottle B. The 15-oz bottle C. They both have the same unit price D. Neither
18. Driving at a constant speed, Daisy drove 240 miles in 6 hours. How far would she drive in 1 hour? 15 hours?
19. Chompers is 76 cm long. How many mm is this?
a. .76 mm
b. 7.6 mm c. 760 mm
7,600 mm
Pg.5a
pg. 5b
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